Least Common Multiple of 4721/980, 3890/7526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4721/980, 3890/7526 quickly i.e. 9182345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4721/980, 3890/7526 is 9182345.

LCM(4721/980, 3890/7526) = 9182345

LCM of 4721/980, 3890/7526

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 4721/980,3890/7526

Given numbers are 4721/980,3890/7526

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 4721,3890

Least Common Multiple of Numerators i.e. LCM of 4721,3890 is 18364690.

GCF of Denominators means GCF of 980,7526 as per the given fractions.

GCF of 980,7526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4721,3890

LCM of Fractions 4721/980,3890/7526 is 9182345

Given numbers has no common factors except 1. So, there LCM is their product i.e 18364690

Least Common Multiple of 4721,3890 with GCF Formula

Least Common Multiple of 4721,3890 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4721,3890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4721,3890) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(4721,3890) x common factors =1 x 1 = 1

LCM(4721,3890) = ( 4721 × 3890 ) / 1

LCM(4721,3890) = 18364690 / 1

LCM(4721,3890) = 18364690


Lets's calculate GCF of 980,7526

2 980, 7526
490, 3763

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18364690/2

Therefore the LCM of Fractions 4721/980,3890/7526 is 9182345

Greatest Common Factor of 980,7526 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,7526 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 7526

List of positive integer factors of 7526 that divides 7526 without a remainder.

1,2,53,71,106,142,3763,7526

Greatest Common Factor

We found the factors 980,7526 . The biggest common factor number is the GCF number.
So the greatest common factor 980,7526 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4721/980, 3890/7526

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 4721/980, 3890/7526?

Answer: LCM of Numerators as per given numbers 4721/980, 3890/7526 is

LCM of Numerators i.e. for 4721,3890 is 18364690

GCF of denominators i.e. for 980,7526 is 2.

Thus, LCM of Fractions is 9182345.Finally, LCM of Fractions for 4721/980, 3890/7526 is 9182345.